Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2008-09-01

Journal: SCIENCE IN CHINA SERIES A-MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 51

Issue: 9

Page Number: 1631-1643

ISSN: 1006-9283

Key Words: quenching; simultaneous quenching; non-simultaneous quenching; quenching rate; heat equation; singular nonlinear boundary flux

Abstract: We study finite time quenching for heat equations coupled via singular nonlinear boundary flux. A criterion is proposed to identify the simultaneous and non-simultaneous quenchings. In particular, three kinds of simultaneous quenching rates are obtained for different nonlinear exponent regions and appropriate initial data. This extends an original work by Pablo, Quiros and Rossi for a heat system with coupled inner absorption terms subject to homogeneous Neumann boundary conditions.